摘要
考虑无压气体动力学方程组二维Riemann问题,构造了分片常初值时的Riemann解,得出非古典激波出现在某些Riemann解中;同时给出了Dirac激波的熵条件,得出包含Dirac激波的Riemann解不唯一.
The Riemann problem for a two dimensional hyperbolic system of pressureless gas dynamics equations was considered. Riemann solutions were constructed for any piecewise constant initial data having two discontinuity rays with the origin as vertex. Non classical waves (labelled as Dirac shoch waves) appeared in some solutions. The entropy conditions for the Dirac shock waves were given, and uniqueness of Riemann solutions containing Dirac shock waves failed.
出处
《中南工业大学学报》
CSCD
北大核心
1999年第1期102-106,共5页
Journal of Central South University of Technology(Natural Science)
基金
国家自然科学基金